Trying to revamp my list. Looking for names that are classic/classic-sounding but not overly popular. Literary connections would be a plus (huge [name_u]Brit[/name_u] Lit geek!). 
Here’s my list 
I realize they are not all considered classic but hopefully there are a few you like!
[name_m]Adler[/name_m]
[name_m]Alaric[/name_m]
[name_u]Alden[/name_u]
[name_m]Ambrose[/name_m]
[name_u]Ari[/name_u]
[name_u]Ash[/name_u]
[name_m]Asher[/name_m]
[name_m]Berilo[/name_m]
[name_f]Briar[/name_f]
[name_m]Brooks[/name_m]
[name_m]Caspian[/name_m]
[name_u]Darcy[/name_u]
[name_m]Edmund[/name_m]
[name_u]Emerson[/name_u]
[name_u]Emery[/name_u]
[name_u]Fifer[/name_u]
[name_u]Finch[/name_u]
[name_u]Finley[/name_u]
[name_m]Flavian[/name_m]
[name_u]Florian[/name_u]
[name_m]Forrest[/name_m]
[name_m]Foxen[/name_m]
[name_m]Hamish[/name_m]
[name_m]Hawthorne[/name_m]
[name_m]Huck[/name_m]
[name_u]Hollis[/name_u]
[name_m]Huckleberry[/name_m]
[name_m]Idris[/name_m]
[name_m]Isidore[/name_m]
[name_m]Judah[/name_m]
[name_u]Kit[/name_u]
[name_u]Laken[/name_u]
[name_m]Leo[/name_m]
[name_u]Leland[/name_u]
[name_m]Leon[/name_m]
[name_m]Leonidas[/name_m]
[name_m]Leopold[/name_m]
[name_m]Lewis[/name_m]
[name_u]Linden[/name_u]
[name_m]Linus[/name_m]
[name_u]Lionel[/name_u]
[name_m]Llewelyn[/name_m]
[name_u]Logan[/name_u]
[name_m]Lysander[/name_m]
[name_u]Owen[/name_u]
[name_u]Reed[/name_u]
[name_u]River[/name_u]
[name_u]Robin[/name_u]
[name_u]Rowan[/name_u]
[name_m]Seraphim[/name_m]
[name_m]Solomon[/name_m]
[name_m]Soren[/name_m]
[name_u]Sorrel[/name_u]
[name_u]Sutton[/name_u]
[name_m]Thatcher[/name_m]
[name_m]Vasant[/name_m]
[name_m]Vitalis[/name_m]
[name_m]Wilder[/name_m]
[name_u]Vyvyan[/name_u]/[name_u]Vivian[/name_u] is my favourite. It’s a classic boys name that really needs a revival. It’s also got literary connection to [name_u]Vyvyan[/name_u] [name_u]Holland[/name_u]
So I’m thinking you mean by not overly common as “there won’t be 3 others in the class” but still classic and trying to work in literary reference too I would say:
[name_u]Eliot[/name_u]
[name_u]Laurence[/name_u]
[name_m]Thomas[/name_m]
[name_m]Christopher[/name_m]
[name_m]Callum[/name_m]
[name_u]Charlie[/name_u]
[name_m]Oscar[/name_m]
[name_m]Leopold[/name_m]
[name_m]Fitzwilliam[/name_m]
[name_u]Dorian[/name_u]
[name_m]Christopher[/name_m] with the nickname of [name_u]Kit[/name_u]?
[name_m]Edgar[/name_m]
[name_m]Leonard[/name_m] ([name_m]Leonard[/name_m] [name_m]Woolf[/name_m])
[name_m]Heath[/name_m]
[name_m]Atticus[/name_m] (not British literature but connotations with American lit)
[name_m]Ralph[/name_m]
[name_m]Lewis[/name_m]
[name_m]Peregrin[/name_m]
[name_m]Maxim[/name_m]
Classic and uncommon can be a tricky pair to find, but they’re out there! Some names I think apply that haven’t been mentioned:
[name_m]Fabian[/name_m]/[name_m]Fabien[/name_m]
[name_m]Aldous[/name_m]
[name_m]Newland[/name_m]
[name_m]Grover[/name_m]
[name_m]Heathcliff[/name_m]
[name_m]Wilfred[/name_m]
[name_m]Orson[/name_m]
[name_m]Fitzgerald[/name_m] (and [name_m]Fitz[/name_m] name really)
[name_m]Horton[/name_m]
[name_m]Barnaby[/name_m]
[name_u]Winslow[/name_u]
[name_m]Gerard[/name_m]
[name_m]Lucian[/name_m]
[name_m]Albert[/name_m]
[name_m]Ferdinand[/name_m]
[name_m]Warren[/name_m]
[name_m]Ramsay[/name_m]
[name_u]Loren[/name_u]
[name_m]Virgil[/name_m]
[name_m]Rupert[/name_m]
[name_m]Bastien[/name_m]
[name_u]Howard[/name_u]
[name_u]Chauncey[/name_u]
[name_u]Tristan[/name_u]
[name_m]Fairchild[/name_m]
[name_m]Ernest[/name_m]
[name_u]Vernon[/name_u]
[name_m]Bramwell[/name_m]
[name_m]Gordon[/name_m]
[name_m]Clifford[/name_m]
[name_m]Franklin[/name_m]
[name_u]Leland[/name_u]
[name_m]Sylvester[/name_m]
[name_m]Ivan[/name_m]
Here are some suggestions. I love literary names! (not all are [name_u]Brit[/name_u] Lit though)
[name_u]Kit[/name_u]
[name_m]Lewis[/name_m]
[name_u]Francis[/name_u]
[name_m]Hugh[/name_m]
[name_u]Darcy[/name_u] (Pride and Prejudice)
[name_m]Fitzwilliam[/name_m] (" “)
[name_m]Horatio[/name_m]
[name_m]Basil[/name_m]
[name_u]Robin[/name_u] ([name_m]Christopher[/name_m] [name_u]Robin[/name_u] from [name_f]Winnie[/name_f]-the-Pooh, [name_u]Robin[/name_u] Hood)
[name_m]Walter[/name_m] ([name_f]Anne[/name_f] of [name_u]Green[/name_u] Gables)
[name_u]Jem[/name_u] (” " … the character’s full name was [name_u]James[/name_u] [name_m]Matthew[/name_m], but it could be short for [name_m]Jeremy[/name_m] or [name_m]Jeremiah[/name_m])
[name_m]Gilbert[/name_m] (" “)
[name_m]Geoffrey[/name_m] ([name_m]Chaucer[/name_m])
[name_m]Edmund[/name_m] ([name_m]Mansfield[/name_m] [name_m]Park[/name_m], [name_f]Narnia[/name_f] books, etc.)
[name_m]Gawain[/name_m] (the Arthurian legends)
[name_u]Tristan[/name_u] (” “)
[name_m]Percival[/name_m] (” ")
[name_m]Louis[/name_m]
[name_m]Philip[/name_m]/[name_m]Phillip[/name_m] (popular with older generations but uncommon for kids)
[name_m]Stuart[/name_m]/[name_m]Stewart[/name_m]
[name_m]Ernest[/name_m] ([name_m]Hemingway[/name_m])
[name_m]Algernon[/name_m] (Importance of Being [name_m]Earnest[/name_m])
[name_m]Vincent[/name_m]
[name_m]Colin[/name_m] (The [name_f]Secret[/name_f] Garden)
[name_m]Fergus[/name_m] (Tenant of Wildfell [name_m]Hall[/name_m])
[name_m]Ralph[/name_m]
[name_m]Hector[/name_m]
[name_u]Lawrence[/name_u]/[name_u]Laurence[/name_u] (D.H. [name_u]Lawrence[/name_u])
[name_u]Evelyn[/name_u] (Waugh)
[name_m]Lachlan[/name_m]
[name_m]Hamish[/name_m]
[name_m]Montgomery[/name_m] ([name_f]Lucy[/name_f] [name_f]Maud[/name_f] [name_m]Montgomery[/name_m])
[name_m]Russell[/name_m]
[name_m]Casper[/name_m]/[name_m]Caspar[/name_m]
[name_m]Tobias[/name_m]/[name_u]Toby[/name_u]
[name_m]Rufus[/name_m]
[name_m]Rupert[/name_m]
[name_m]Byron[/name_m] (might be more trendy than classic sound-wise though?)
[name_m]Gavin[/name_m]
[name_m]Edgar[/name_m] ([name_m]Edgar[/name_m] [name_m]Allan[/name_m] [name_u]Poe[/name_u])
[name_u]Sinclair[/name_u]
[name_m]Giles[/name_m]
[name_m]Crispin[/name_m]
[name_m]Maxim[/name_m] ([name_f]Rebecca[/name_f])
[name_m]Walter[/name_m]-author [name_m]Walter[/name_m] [name_m]Farley[/name_m] of The [name_m]Black[/name_m] Stallion series
[name_m]Albert[/name_m] or [name_f]Payson[/name_f]-author [name_m]Albert[/name_m] [name_f]Payson[/name_f] Terhune of [name_m]Lad[/name_m], A Dog (and various other books and articles)
[name_m]Edmund[/name_m]
[name_m]Benedict[/name_m]
[name_m]Dashiell[/name_m]
[name_m]Virgil[/name_m]
[name_m]Julian[/name_m]
[name_m]Walter[/name_m]
[name_m]Christopher[/name_m] nn [name_u]Kit[/name_u]
[name_m]Peregrine[/name_m]
[name_u]Tristan[/name_u]
[name_u]Percy[/name_u]
[name_m]Aloysius[/name_m]
[name_m]Augustine[/name_m]
[name_m]Anselm[/name_m]
[name_m]Ambrose[/name_m]
[name_u]Blaise[/name_u]